Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
752318 | Systems & Control Letters | 2011 | 7 Pages |
Abstract
We give an explicit criterion for positivity of the solution semigroup of linear differential equations with infinite delay and a Perron–Frobenius type theorem for positive equations. Furthermore, a novel criterion for the exponential asymptotic stability of positive equations is presented. Finally, we provide a sufficient condition for the exponential asymptotic stability of positive equations subjected to structured perturbations. A simple example is given to illustrate the obtained results.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Pham Huu Anh Ngoc,